The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.
The maximum order of finite groups of outer automorphisms of free groups.
The metric space of geodesic laminations on a surface. I.
The minimal number of Seifert circles equals the braid index of a link.
The minimizing of the Nielsen root classes
Given a map f: X→Y and a Nielsen root class, there is a number associated to this root class, which is the minimal number of points among all root classes which are H-related to the given one for all homotopies H of the map f. We show that for maps between closed surfaces it is possible to deform f such that all the Nielsen root classes have cardinality equal to the minimal number if and only if either N R[f]≤1, or N R[f]>1 and f satisfies the Wecken property. Here N R[f] denotes the Nielsen...
The minimum dimension of a residual ANR
The minimum number of zeros of Lipschitz-Killing curvature.
The Mod 2 Cohomology Rings of Extra-special 2-groups and the Spinor Groups.
The modular group action on real characters of a one-holed torus.
The module of a 2-component link.
The Moduli of Super-Null-Correlation Bundles on IP3.
The monodromy groups of Schwarzian equations on closed Riemann surfaces.
The Monodromy of a Curve with Ordinary Double Points.
The Monodromy of Reducible Plane Curves.
The Morava -Theory Eilenberg-Moore spectral sequence.
The multiplicity of the Lyashko-Looijenga mapping on the discriminant strata of even and odd polynomials
The Mumford conjecture
The Mumford Conjecture asserts that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra on the Mumford-Morita-Miller characteristic classes; this can be reformulated in terms of the classifying space derived from the mapping class groups. The conjecture admits a topological generalization, inspired by Tillmann’s theorem that admits an infinite loop space structure after applying Quillen’s plus construction. The text presents the proof by Madsen and...
The Nash-Kuiper process for curves
A strictly short embedding is an embedding of a Riemannian manifold into an Euclidean space that strictly shortens distances. From such an embedding, the Nash-Kuiper process builds a sequence of maps converging toward an isometric embedding. In that paper, we describe this Nash-Kuiper process in the case of curves. We state an explicit formula for the limit normal map and perform its Fourier series expansion. We then adress the question of Holder regularity of the limit map.
The neighborhood complex of an infinite graph.
The n-Homology of Harish-Chandra Modules: Generalizing a Theorem of Kostant.